Mitt Romney’s post-debate surge appears to have all but wiped out President Obama’s once double-digit lead among women voters.

A new Pew Research Center survey depicted a remarkable swing in the numbers, with Romney pulling even among women in polling late last week. In September, the same polling outfit showed Obama leading by 18 points among women.

Among all likely voters surveyed, Romney climbed from an 8-point deficit last month to a 4-point lead.

There’s little question that his debate performance has played a role. A separate Gallup survey showed registered voters deemed Romney the winner by 72-20 percent, marking the biggest debate victory in Gallup’s recorded history.

The Pew poll showed a similarly big victory for Romney in the debate, and it appeared to translate into gains among several groups of voters. The Oct. 4-7 survey of 1,112 likely voters showed Romney leading 49-45 percent overall.

Among all registered voters surveyed, the two candidates were also tied.